Simplify 78/144 to Lowest Terms
78/144 simplified to its lowest terms is 13/24 (or 0.541667 in decimal). See how to reduce 78/144 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/144 = 13/24
Simplified Fraction
13/24
Mixed Number
Proper (13/24)
Decimal Value
0.541667
Percentage
54.1667%
Step-by-Step Solution: 78/144 = 13/24
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 144:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(78, 144) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (78) and denominator (144) by 6.
78 ÷ 6/144 ÷ 6 = 13/24
Visual Representation
The diagram below illustrates Simplify 78/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/24 |
| Mixed Number Form | 13/24 |
| Decimal Form | 0.541667 |
| Percentage | 54.1667% |
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Frequently Asked Questions
What is 78/144 in simplest form?
78/144 simplified to lowest terms is 13/24.
What is the GCD (GCF) of 78 and 144?
The Greatest Common Divisor (GCD) of 78 and 144 is 6.
What are equivalent fractions to 78/144?
Equivalent fractions to 78/144 include 26/48, 39/72, and 52/96.